Suppose your friend claims to have discovered a mysterious force in nature that acts on all particles in some region of space. He tells you that the force is always pointed away a de?nite point in space, which we can call the force center. The Date magnitude of the force turns out to be proportional to Bir3, where r is the distance from the force center to any other point Your friend says that it has been determined that the constant of proportionality has been determined to be B-2 (in units to be determined later), so that the magnitude of the force on a particle (in newtons) can be written as 2/3, when the particle is at a distance r from the force center ression for the potential energy Up of a particle when it is at a distance D from the force center, in terms of B an rho S8 33% Part (a) Write an exp where B is the constant of proportionality. Assume the potential energy to be zero when the particle is at infinity